d) lim g(x), where g(x) = x-2 ~ (x-3)² if x > 2 x+1 if x ≤ 2

Q: Let f(x) { Calculate the following limits. Enter "DNE" if the limit do f(x) = 10- x - x² if x ≤ 4 if…

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Q: 5000 liters of the toxic substance Trioxin was dumped into the local swamp at the beginning of the…

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Q: 2 xa tinh xx > 11/ash+²³1 +0

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Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

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Q: The function f is continuous where f(-5) = -1 and f(5) = 6, and g is a function defined by g(x) = 1…

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Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3

Q: 5000 4000 3000 2000 1000 X 50 100 150 200 250 300 350 (b) What is the slope of the graph? 5000 (c)…

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Q: Consider 3 4+2³ (a) First, define this as a Mathematica expression and compute the third derivative.…

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Q: Use the quadratic formula and a calculator to find all real solutions, correct to three decimals.…

A: Given :

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: d (19) dx [xy] dx

A: We have to find the integral.

Q: Find the average value of the function over the given interval. (Round your answer to four decimal…

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A: Given 1. Purchase price of tractor =$12,000 2. Depreciates to $0 in 20 years

Q: Solve the homogenous diff equation of; y' = y sec x

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Q: The number of pet dogs in the United States can be represented as  p(t) million where t is the…

A: Given 1. p0=65.2 2.There were 66.9 million pet dogs in the United States in 2009.

Q: sine = COSA coto || || || |||| CSCD= sec 0 =

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Q: V₁= 2³²-37²³² +27= 0 + 1 (1-1)(1-2) = 0. 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +₁=1, 4₂-e…

A: The objective of the question is simplying the given integral.

Q: B. Determine the center and the radius of the circle described by each equation. Then, sketch its…

A: Let's find radius and center of circle.

Q: For each statement,write true or false {0,2,6}={6,2,0} {2,3,4} =[2,4] {XER:0≤x≤6}= [0,6]…

A: We will  state whether the statement is true or false.

Q: 1. Let F(x)=√1+t² dt. Find F'(1).

A:

Q: write true or false for each statement  1. {∅}⊆{∅,{∅}}   2. ∅⊈∅   3. {∅}∈{∅}

A: The answers are given below:

Q: f(x+h)-f(x) h (must show work for full Find a simplified formula for the difference quotient for the…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x

Q: 6. Determine whether the vector field is conservative and, if so, find a potential function. a. F(x,…

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Q: Convert 1.2 in radians to degrees:

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Q: 2.Expand the following in powers of x i)√(1 + sinx) ii)e cosx iii) cos x²+

A: Given data:- (i); 1+sinx (ii); excosx (iii); cos-1x2-1x2+1

Q: Consider the differential equation (xy + 3x − y − 3) dx = (xy − 2x + 4y − 8) dy. By separation of…

A:

Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: Prove that tan'z= leto 1/2 in (1+2) tan't z • tanw=Z Z = Sinw cosw

A:

Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.

Q: dy Consider the differential equation secy- + sin(x-y)=sin(x+y). dx Using separation of variables,…

A: Given differential equation is secy dydx+sin(x-y)=sin(x+y)

Q: - 24 (a) lim f(x) X-8 (b) lim f(x) X-8 -16 -8 16 BO -8 - 16 -24 00 8 16 24 X

A: Limit gives the approaching value of the function when you start going close to the point.  1. If…

Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: CO₂ level CO₂ level (in ppm) (in ppm) 1980 338.2 1996 362.7 1982 341.6 1998 366.7 1984 344.9 2000…

A: Concept: When two points A (x1,y1) and B (x2, y2)are connected with the least amount of space…

Q: lim a-8 1 - a 1 - - 8 a-8 = || (Type an integer or a simplified fraction.)

A: Given :lima→81a-18a-8

Q: Given AABC, what is the m48? 6.309 35 39 808 54 903 90 0679 11 9

A: We have to find angle B.

Q: 11) Evaluate the following integral. The letter H represents a constant. H (3x-4)²3 dx 0

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule

Q: and b please its so confusing

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Q: Add 2.33 × 103 to 4.16 × 102 and express the x X answer in scientific notation. 27.5 × 10² X 4.39 ×…

A: Add the expression.

Q: An electromotive force E(1) [120, [0, 0t 20 t> 20 is applied to an LR-series circuit in which the…

A: Let's solve current at time t by using diffrential equation.

Q: Solve the given equation on the interval 0 ≤ 0 ≤ 27: tan 0+1=0

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Q: www Given the function defined by f(x)=3x−1, find f(-

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Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

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Q: Make a table of values for the equation. 3x - y = 5 X -2 0 2 4 у

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Q: (3) Find the radius of convergence of a) infinite b) 1 not defined 0 infinite X Σ₁ F

A: The given series is: ∑j=1∞xjj2 Let, aj=xjj2; j≥1

Q: (6) Set up but do not evaluate the integral representing the volume of the region (circular…

A: Given Ellipse, ax2+by2=r2That isby2=r2-ax2y2=1b(r2-ax2) ax2+by2=r2Divide r2 on both…

Q: make

A: We have to find the following conditions according to the given information

Q: Solve for the indicated variable. Show all work. 1. Solve for n in: 2. Solve for x in: 3. Solve for…

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Q: Find the general solution of the given differential equations by the concept of Exact DE and…

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Q: Evaluate the following integral. 40x² x4-52x² +576 dx Find the partial fraction decomposition of the…

A: